Multiplying and Simplifying Exponents

The video tutorial explains the concept of indices and how to handle multiplication involving indices. It emphasizes the importance of understanding the base and indices, and why different bases cannot be mixed. The tutorial also demonstrates using a calculator to verify calculations and introduces prime factorization as a method to simplify expressions with indices.

What is the result of multiplying two numbers with the same base in index form?

• You subtract the indices from the bases.

• You multiply the bases and add the indices.

• You keep the base the same and add the indices.

• You add the bases and multiply the indices.

When multiplying numbers with different bases, what should you do?

• Multiply the bases and add the indices.

• Keep the bases separate and do not add the indices.

• Add the bases and multiply the indices.

• Convert the bases to a common base before multiplying.

Why can't you directly mix different bases when performing operations?

• Because they are not prime numbers.

• Because they need to be converted to a common base first.

• Because they are not whole numbers.

• Because they have different indices.

What is the analogy used to explain why different bases don't mix?

• Subtracting integers.

• Dividing decimals.

• Multiplying whole numbers.

• Adding fractions with different denominators.

How can you simplify expressions with different bases?

• By multiplying the bases together.

• By subtracting the smaller base from the larger base.

• By converting them into prime factors.

• By adding the indices.

In the example of 4 cubed, how is it broken down?

• As 2 times 2 times 2 times 2 times 2 times 2.

• As 4 times 4 times 4.

• As 2 times 2 times 2.

• As 2 times 4 times 4.

What is the result of adding the indices of numbers with the same base?

• The base is added, and the indices remain the same.

• The base is divided, and the indices are multiplied.

• The base remains the same, and the indices are added.

• The base is multiplied, and the indices are subtracted.

What is the general rule for multiplying numbers with the same base?

• Multiply the bases and subtract the indices.

• Keep the base the same and add the indices.

• Add the bases and multiply the indices.

• Divide the bases and add the indices.

What happens when you multiply numbers with the same base?

• The base is divided, and the indices remain the same.

• The base is multiplied, and the indices are subtracted.

• The base remains the same, and the indices are added.

• The base changes, and the indices are added.

What is the formula for multiplying numbers with the same base?

• a^m * a^n = a^(m+n)

• a^m * a^n = a^(m/n)

• a^m * a^n = a^(m-n)

• a^m * a^n = a^(m*n)